9221216256 has 288 divisors, whose sum is σ = 31576446720. Its totient is φ = 2633637888.

The previous prime is 9221216239. The next prime is 9221216261. The reversal of 9221216256 is 6526121229.

9221216256 is a `hidden beast` number, since 9 + 2 + 2 + 1 + 21 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9221216256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482325 + ... + 3484971.

It is an arithmetic number, because the mean of its divisors is an integer number (109640440).

Almost surely, 2^9221216256 is an apocalyptic number.

9221216256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9221216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788223360).

9221216256 is an abundant number, since it is smaller than the sum of its proper divisors (22355230464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9221216256 is an equidigital number, since it uses as much as digits as its factorization.

9221216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2659 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 9221216256 is about 96027.1641568155. The cubic root of 9221216256 is about 2096.9885979965.

The spelling of 9221216256 in words is "nine billion, two hundred twenty-one million, two hundred sixteen thousand, two hundred fifty-six".